Towards proving the above, we shall need some additional notation from [1]} and [2]}. For any \(\rho ,\mu _1,\mu _2\) , let \(\Gamma _\rho (\mu _1,\mu _2)\)  be the \((\mu _1,\mu _2)\)  biased bilinear Gaussian stability defined as
\(\Gamma _\rho (\mu _1,\mu _2) = \Pr _{g_1 \underset{\rho }{\sim } g_2 } \Big [g_1 \le \Phi ^{-1}(\mu _1) \wedge g_2 \le \Phi ^{-1}(\mu _2)\Big ].\) 
